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  • Letter
  • Open Access

Multifractal correlations of the local density of states in dirty superconducting films

M. Stosiek1, F. Evers2, and I. S. Burmistrov3,4

  • 1Physics Division, Sophia University, Chiyoda-ku, Tokyo 102-8554, Japan
  • 2Institute of Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany
  • 3L.D. Landau Institute for Theoretical Physics, Akademika Semenova av. 1-a, 142432 Chernogolovka, Russia
  • 4Laboratory for Condensed Matter Physics, HSE University, 101000 Moscow, Russia

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Phys. Rev. Research 3, L042016 – Published 4 November, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L042016

Abstract

Mesoscopic fluctuations of the local density of states encode multifractal correlations in disordered electron systems. We study fluctuations of the local density of states in a superconducting state of weakly disordered films. We perform numerical computations in the framework of the disordered attractive Hubbard model on two-dimensional square lattices. Our numerical results are explained by an analytical theory. The numerical data and the theory together form a coherent picture of multifractal correlations of local density of states in weakly disordered superconducting films.

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Phys. Rev. Research 3, L042016– Published 4 November, 2021
  • Received 19 July 2021
  • Accepted 27 September 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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